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Question
Evaluate the following limit:
`lim_(x -> 3)[sqrt(2x + 6)/x]`
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Solution
`lim_(x -> 3)[sqrt(2x + 6)/x]`
= `(lim_(x -> 3) sqrt(2x + 6))/(lim_(x -> 3) x`
= `sqrt(2(3) + 6)/3`
= `sqrt(12)/3`
= `(2sqrt(3))/3`
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